Question

A certain sum of money P was deposited for $5$ years and $4$ months at $4.5$ simple interest and amounted to $Rs.248$. Then the value of P is

• A. $Rs.200$
• B. $Rs.210$
• C. $Rs.220$
• D. $Rs.240$

Answer 1

The correct option is A $Rs.200$

Given that,

Sum of money $=Q$

Time=$5$ years and $4$months

$=64$ months

Rate of interest$=4.5$ per anum

Or $\frac{4.5}{12}$ per month

Now S.I. =$\frac{Q\times \frac{4.5}{12}\times 64}{100}$

Given, amount =248 r.s.

Hence,

S.I.+Q=248

$\frac{Q\times \frac{4.5}{12}\times 64}{100}+Q=248$

$Q(\frac{288}{1200}+1)=248$

$Q\times 1.24=248$

$Q=\frac{248}{1.24}$

$Q=200r.s$

Hence, this is the answer.